Example 2
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example 2 A family has two children. What is the probability that both the children are boys given that at least one of them is a boy ? A Family has two children Let girls be denoted by ‘g’ & boys be denoted by ‘b’ S = {(g, g), (g, b), (b, g), (b, b)} We need to find the probability that both the children are boys, given at least one them is a boys F : at least one of the children is a boys E : both the children are boys We need to find P(E|F) Also, E ∩ F = {(b, b)} P(E ∩ F ) = 14 Now, P(E|F) = 𝑃(𝐸 ∩ 𝐹)𝑃(𝐹) = 14 34 = 13 ∴ P(E|F) = 𝟏𝟑
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Chapter 13 Class 12 Probability
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.